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Finding the Fourth Proportional to 5,288.34, 7,287.84 and 3,872.46

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Solution

The fourth proportional to 5,288.34, 7,287.84 and 3,872.46 is: 5,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.34 : 7,287.84 = 3,872.46 : x
  2. Step 2: Convert to fraction form
    5,288.34/7,287.84 = 3,872.46/x
  3. Step 3: Cross multiply
    5,288.34x = 7,287.84 × 3,872.46
  4. Step 4: Simplify right side
    5,288.34x = 28,221,868.89
  5. Step 5: Solve for x
    x = 28,221,868.89/5,288.34
  6. Step 6: Final answer
    x = 5,336.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.